Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Variational Iteration Method for Solving Nonlinear Partial Differential Equations in Fluid Dynamics

Version 1 : Received: 4 November 2023 / Approved: 20 November 2023 / Online: 23 November 2023 (07:34:40 CET)

How to cite: Fatima, N.; Haque, S. Variational Iteration Method for Solving Nonlinear Partial Differential Equations in Fluid Dynamics. Preprints 2023, 2023111201. https://doi.org/10.20944/preprints202311.1201.v1 Fatima, N.; Haque, S. Variational Iteration Method for Solving Nonlinear Partial Differential Equations in Fluid Dynamics. Preprints 2023, 2023111201. https://doi.org/10.20944/preprints202311.1201.v1

Abstract

In this work, the analytical treatment of Fourth order pd equations has been discussed with the variational iteration algorithm with an auxiliary parameter. The technique has the capability of reducing the size of computational work and easily overcomes the difficulty of the perturbation method or Adomian polynomials. Comparison with the classic variational iteration algorithm- is carried out, showing that the modification is more efficient and reliable.

Keywords

Partial Differential Equation; Solutions; Variational Method

Subject

Computer Science and Mathematics, Applied Mathematics

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